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4042279840 = 25529871181
BaseRepresentation
bin1111000011110000…
…0100101110100000
3101102201021002111011
43300330010232200
531234310423330
61505040030304
7202112545264
oct36074045640
911381232434
104042279840
111794841745
12949902394
134c5605b81
142a4bdc0a4
15189d2782a
hexf0f04ba0

4042279840 has 48 divisors (see below), whose sum is σ = 9879203880. Its totient is φ = 1561154560.

The previous prime is 4042279817. The next prime is 4042279853. The reversal of 4042279840 is 489722404.

It can be written as a sum of positive squares in 4 ways, for example, as 1939873936 + 2102405904 = 44044^2 + 45852^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4042279793 and 4042279802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430951 + ... + 440230.

Almost surely, 24042279840 is an apocalyptic number.

4042279840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042279840 is an abundant number, since it is smaller than the sum of its proper divisors (5836924040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4042279840 is a wasteful number, since it uses less digits than its factorization.

4042279840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871225 (or 871217 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 4042279840 is about 63578.9260683129. The cubic root of 4042279840 is about 1592.9743830955.

The spelling of 4042279840 in words is "four billion, forty-two million, two hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 871181 1742362 3484724 4355905 6969448 8711810 13938896 17423620 25264249 27877792 34847240 50528498 69694480 101056996 126321245 139388960 202113992 252642490 404227984 505284980 808455968 1010569960 2021139920 4042279840